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Simplifying 18(x + 1) = 9(3x + 3) Reorder the terms: 18(1 + x) = 9(3x + 3) (1 * 18 + x * 18) = 9(3x + 3) (18 + 18x) = 9(3x + 3) Reorder the terms: 18 + 18x = 9(3 + 3x) 18 + 18x = (3 * 9 + 3x * 9) 18 + 18x = (27 + 27x) Solving 18 + 18x = 27 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 18 + 18x + -27x = 27 + 27x + -27x Combine like terms: 18x + -27x = -9x 18 + -9x = 27 + 27x + -27x Combine like terms: 27x + -27x = 0 18 + -9x = 27 + 0 18 + -9x = 27 Add '-18' to each side of the equation. 18 + -18 + -9x = 27 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 27 + -18 -9x = 27 + -18 Combine like terms: 27 + -18 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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